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<li class="navelem"><a class="el" href="dir_d44c64559bbebec7f509842c48db8b23.html">include</a></li><li class="navelem"><a class="el" href="dir_d0c4ae63660968bf6b1c77a1e8aecf95.html">helib</a></li>  </ul>
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<div class="title">sample.h</div>  </div>
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<a href="sample_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment">/* Copyright (C) 2012-2020 IBM Corp.</span></div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="comment"> * This program is Licensed under the Apache License, Version 2.0</span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment"> * (the &quot;License&quot;); you may not use this file except in compliance</span></div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment"> * with the License. You may obtain a copy of the License at</span></div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment"> *   http://www.apache.org/licenses/LICENSE-2.0</span></div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment"> * Unless required by applicable law or agreed to in writing, software</span></div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="comment"> * distributed under the License is distributed on an &quot;AS IS&quot; BASIS,</span></div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="comment"> * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.</span></div>
<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="comment"> * See the License for the specific language governing permissions and</span></div>
<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="comment"> * limitations under the License. See accompanying LICENSE file.</span></div>
<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="comment"> */</span></div>
<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#ifndef HELIB_SAMPLE_H</span></div>
<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#define HELIB_SAMPLE_H</span></div>
<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160; </div>
<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;NTL/xdouble.h&gt;</span></div>
<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;NTL/ZZX.h&gt;</span></div>
<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;NTL/ZZ_pX.h&gt;</span></div>
<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="zz_x_8h.html">helib/zzX.h</a>&gt;</span></div>
<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160; </div>
<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacehelib.html">helib</a> {</div>
<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160; </div>
<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespacehelib.html#abc5ec6f6ac945f2c5bcdf04fb7bcf0a9">sampleSmall</a>(<a class="code" href="namespacehelib.html#a4d6002f36f1a61982fded09adf1331ca">zzX</a>&amp; poly, <span class="keywordtype">long</span> n, <span class="keywordtype">double</span> prob = 0.5);</div>
<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespacehelib.html#abc5ec6f6ac945f2c5bcdf04fb7bcf0a9">sampleSmall</a>(NTL::ZZX&amp; poly, <span class="keywordtype">long</span> n, <span class="keywordtype">double</span> prob = 0.5);</div>
<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160; </div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespacehelib.html#a3cebf12977a97396ba96bdc5fe8162e7">sampleHWt</a>(<a class="code" href="namespacehelib.html#a4d6002f36f1a61982fded09adf1331ca">zzX</a>&amp; poly, <span class="keywordtype">long</span> n, <span class="keywordtype">long</span> Hwt = 100);</div>
<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespacehelib.html#a3cebf12977a97396ba96bdc5fe8162e7">sampleHWt</a>(NTL::ZZX&amp; poly, <span class="keywordtype">long</span> n, <span class="keywordtype">long</span> Hwt = 100);</div>
<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160; </div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespacehelib.html#a9ca8304d01fccbbac9264eee5d5a24cb">sampleGaussian</a>(<a class="code" href="namespacehelib.html#a4d6002f36f1a61982fded09adf1331ca">zzX</a>&amp; poly, <span class="keywordtype">long</span> n, <span class="keywordtype">double</span> stdev);</div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespacehelib.html#a9ca8304d01fccbbac9264eee5d5a24cb">sampleGaussian</a>(NTL::ZZX&amp; poly, <span class="keywordtype">long</span> n, <span class="keywordtype">double</span> stdev);</div>
<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160; </div>
<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespacehelib.html#a7b922617fd57c98218c1eada9ffb9cb5">sampleUniform</a>(<a class="code" href="namespacehelib.html#a4d6002f36f1a61982fded09adf1331ca">zzX</a>&amp; poly, <span class="keywordtype">long</span> n, <span class="keywordtype">long</span> B = 100);</div>
<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespacehelib.html#a7b922617fd57c98218c1eada9ffb9cb5">sampleUniform</a>(NTL::ZZX&amp; poly, <span class="keywordtype">long</span> n, <span class="keyword">const</span> NTL::ZZ&amp; B = NTL::ZZ(100L));</div>
<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160; </div>
<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespacehelib.html#a9ca8304d01fccbbac9264eee5d5a24cb">sampleGaussian</a>(std::vector&lt;double&gt;&amp; dvec, <span class="keywordtype">long</span> n, <span class="keywordtype">double</span> stdev);</div>
<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160; </div>
<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;<span class="keyword">class </span>Context;</div>
<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;<span class="keyword">class </span>PAlgebra;</div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;<span class="comment">// Same as above, but sample mod X^m-1 and then reduce mod Phi_m(X)</span></div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;<span class="keywordtype">double</span> <a class="code" href="namespacehelib.html#a3cebf12977a97396ba96bdc5fe8162e7">sampleHWt</a>(<a class="code" href="namespacehelib.html#a4d6002f36f1a61982fded09adf1331ca">zzX</a>&amp; poly, <span class="keyword">const</span> Context&amp; context, <span class="keywordtype">long</span> Hwt = 100);</div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;<span class="keywordtype">double</span> <a class="code" href="namespacehelib.html#ae703021ed961c9a45e32d09c4b965781">sampleHWtBounded</a>(<a class="code" href="namespacehelib.html#a4d6002f36f1a61982fded09adf1331ca">zzX</a>&amp; poly, <span class="keyword">const</span> Context&amp; context, <span class="keywordtype">long</span> Hwt = 100);</div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160; </div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;<span class="keywordtype">double</span> <a class="code" href="namespacehelib.html#a8e75ae20952ceae0b4e92034d7128457">sampleHWtBoundedEffectiveBound</a>(<span class="keyword">const</span> Context&amp; context, <span class="keywordtype">long</span> Hwt = 100);</div>
<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;<span class="comment">// This just returns the effective bound used by sampleHWt bounded</span></div>
<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160; </div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;<span class="comment">// Return value is high-probability bound on L-infty norm of canonical embedding</span></div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;<span class="keywordtype">double</span> <a class="code" href="namespacehelib.html#abc5ec6f6ac945f2c5bcdf04fb7bcf0a9">sampleSmall</a>(<a class="code" href="namespacehelib.html#a4d6002f36f1a61982fded09adf1331ca">zzX</a>&amp; poly, <span class="keyword">const</span> Context&amp; context);</div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;<span class="comment">// Same as above, but ensure the result is not too much larger than typical</span></div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;<span class="keywordtype">double</span> <a class="code" href="namespacehelib.html#a50866077cb1daad6200cd8b374613539">sampleSmallBounded</a>(<a class="code" href="namespacehelib.html#a4d6002f36f1a61982fded09adf1331ca">zzX</a>&amp; poly, <span class="keyword">const</span> Context&amp; context);</div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160; </div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;<span class="comment">// Return value is high-probability bound on L-infty norm of canonical embedding</span></div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;<span class="keywordtype">double</span> <a class="code" href="namespacehelib.html#a9ca8304d01fccbbac9264eee5d5a24cb">sampleGaussian</a>(<a class="code" href="namespacehelib.html#a4d6002f36f1a61982fded09adf1331ca">zzX</a>&amp; poly, <span class="keyword">const</span> Context&amp; context, <span class="keywordtype">double</span> stdev);</div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;<span class="comment">// Same as above, but ensure the result is not too much larger than typical</span></div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;<span class="keywordtype">double</span> <a class="code" href="namespacehelib.html#abc2cb417d4cb136fe2f25fea08aaff16">sampleGaussianBounded</a>(<a class="code" href="namespacehelib.html#a4d6002f36f1a61982fded09adf1331ca">zzX</a>&amp; poly, <span class="keyword">const</span> Context&amp; context, <span class="keywordtype">double</span> stdev);</div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160; </div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;<span class="keywordtype">double</span> <a class="code" href="namespacehelib.html#a7b922617fd57c98218c1eada9ffb9cb5">sampleUniform</a>(<a class="code" href="namespacehelib.html#a4d6002f36f1a61982fded09adf1331ca">zzX</a>&amp; poly, <span class="keyword">const</span> Context&amp; context, <span class="keywordtype">long</span> B = 100);</div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;NTL::xdouble <a class="code" href="namespacehelib.html#a7b922617fd57c98218c1eada9ffb9cb5">sampleUniform</a>(NTL::ZZX&amp; poly,</div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;                           <span class="keyword">const</span> Context&amp; context,</div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;                           <span class="keyword">const</span> NTL::ZZ&amp; B = NTL::ZZ(100L));</div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160; </div>
<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;<span class="keywordtype">double</span> <a class="code" href="namespacehelib.html#a60c561d9f496e4d62c96dfab1e5040a4">boundFreshNoise</a>(<span class="keywordtype">long</span> m, <span class="keywordtype">long</span> phim, <span class="keywordtype">double</span> sigma, <span class="keywordtype">double</span> epsilon = 9e-13);</div>
<div class="line"><a name="l00075"></a><span class="lineno"><a class="line" href="namespacehelib.html#a16658952887fd437cdaccb4ec43b5717">   75</a></span>&#160;<span class="keywordtype">double</span> <a class="code" href="namespacehelib.html#a16658952887fd437cdaccb4ec43b5717">boundRoundingNoise</a>(<span class="keywordtype">long</span> m, <span class="keywordtype">long</span> phim, <span class="keywordtype">long</span> p2r, <span class="keywordtype">double</span> epsilon = 9e-13);</div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160; </div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespacehelib.html#a7afc81441c478d7cd4749a69cbccc984">reduceModPhimX</a>(<a class="code" href="namespacehelib.html#a4d6002f36f1a61982fded09adf1331ca">zzX</a>&amp; poly, <span class="keyword">const</span> <a class="code" href="classhelib_1_1_p_algebra.html">PAlgebra</a>&amp; palg);</div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;<span class="keyword">const</span> NTL::zz_pXModulus&amp; <a class="code" href="namespacehelib.html#ab0fdf54d28eb816a5a395b7e1e1efe51">getPhimXMod</a>(<span class="keyword">const</span> <a class="code" href="classhelib_1_1_p_algebra.html">PAlgebra</a>&amp; palg);</div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160; </div>
<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;} <span class="comment">// namespace helib</span></div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160; </div>
<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;<span class="preprocessor">#endif // ifndef HELIB_SAMPLE_H</span></div>
</div><!-- fragment --></div><!-- contents -->
<div class="ttc" id="anamespacehelib_html_a8e75ae20952ceae0b4e92034d7128457"><div class="ttname"><a href="namespacehelib.html#a8e75ae20952ceae0b4e92034d7128457">helib::sampleHWtBoundedEffectiveBound</a></div><div class="ttdeci">double sampleHWtBoundedEffectiveBound(const Context &amp;context, long Hwt=100)</div><div class="ttdef"><b>Definition:</b> sample.cpp:255</div></div>
<div class="ttc" id="anamespacehelib_html_a4d6002f36f1a61982fded09adf1331ca"><div class="ttname"><a href="namespacehelib.html#a4d6002f36f1a61982fded09adf1331ca">helib::zzX</a></div><div class="ttdeci">NTL::Vec&lt; long &gt; zzX</div><div class="ttdef"><b>Definition:</b> zzX.h:24</div></div>
<div class="ttc" id="anamespacehelib_html_abc2cb417d4cb136fe2f25fea08aaff16"><div class="ttname"><a href="namespacehelib.html#abc2cb417d4cb136fe2f25fea08aaff16">helib::sampleGaussianBounded</a></div><div class="ttdeci">double sampleGaussianBounded(zzX &amp;poly, const Context &amp;context, double stdev)</div><div class="ttdef"><b>Definition:</b> sample.cpp:417</div></div>
<div class="ttc" id="anamespacehelib_html_a50866077cb1daad6200cd8b374613539"><div class="ttname"><a href="namespacehelib.html#a50866077cb1daad6200cd8b374613539">helib::sampleSmallBounded</a></div><div class="ttdeci">double sampleSmallBounded(zzX &amp;poly, const Context &amp;context)</div><div class="ttdef"><b>Definition:</b> sample.cpp:342</div></div>
<div class="ttc" id="anamespacehelib_html_abc5ec6f6ac945f2c5bcdf04fb7bcf0a9"><div class="ttname"><a href="namespacehelib.html#abc5ec6f6ac945f2c5bcdf04fb7bcf0a9">helib::sampleSmall</a></div><div class="ttdeci">void sampleSmall(zzX &amp;poly, long n, double prob=0.5)</div><div class="ttdef"><b>Definition:</b> sample.cpp:67</div></div>
<div class="ttc" id="aclasshelib_1_1_p_algebra_html"><div class="ttname"><a href="classhelib_1_1_p_algebra.html">helib::PAlgebra</a></div><div class="ttdoc">The structure of (Z/mZ)* /(p)</div><div class="ttdef"><b>Definition:</b> PAlgebra.h:77</div></div>
<div class="ttc" id="anamespacehelib_html_ae703021ed961c9a45e32d09c4b965781"><div class="ttname"><a href="namespacehelib.html#ae703021ed961c9a45e32d09c4b965781">helib::sampleHWtBounded</a></div><div class="ttdeci">double sampleHWtBounded(zzX &amp;poly, const Context &amp;context, long Hwt=100)</div><div class="ttdef"><b>Definition:</b> sample.cpp:269</div></div>
<div class="ttc" id="anamespacehelib_html_a9ca8304d01fccbbac9264eee5d5a24cb"><div class="ttname"><a href="namespacehelib.html#a9ca8304d01fccbbac9264eee5d5a24cb">helib::sampleGaussian</a></div><div class="ttdeci">void sampleGaussian(zzX &amp;poly, long n, double stdev)</div><div class="ttdoc">Sample polynomials with Gaussian coefficients.</div><div class="ttdef"><b>Definition:</b> sample.cpp:143</div></div>
<div class="ttc" id="anamespacehelib_html_a7b922617fd57c98218c1eada9ffb9cb5"><div class="ttname"><a href="namespacehelib.html#a7b922617fd57c98218c1eada9ffb9cb5">helib::sampleUniform</a></div><div class="ttdeci">void sampleUniform(zzX &amp;poly, long n, long B=100)</div><div class="ttdoc">Sample a degree-(n-1) ZZX, with coefficients uniform in [-B,B].</div><div class="ttdef"><b>Definition:</b> sample.cpp:199</div></div>
<div class="ttc" id="anamespacehelib_html_a7afc81441c478d7cd4749a69cbccc984"><div class="ttname"><a href="namespacehelib.html#a7afc81441c478d7cd4749a69cbccc984">helib::reduceModPhimX</a></div><div class="ttdeci">void reduceModPhimX(zzX &amp;poly, const PAlgebra &amp;palg)</div><div class="ttdef"><b>Definition:</b> zzX.cpp:109</div></div>
<div class="ttc" id="anamespacehelib_html"><div class="ttname"><a href="namespacehelib.html">helib</a></div><div class="ttdef"><b>Definition:</b> apiAttributes.h:21</div></div>
<div class="ttc" id="anamespacehelib_html_a60c561d9f496e4d62c96dfab1e5040a4"><div class="ttname"><a href="namespacehelib.html#a60c561d9f496e4d62c96dfab1e5040a4">helib::boundFreshNoise</a></div><div class="ttdeci">double boundFreshNoise(long m, long phim, double sigma, double epsilon=9e-13)</div><div class="ttdef"><b>Definition:</b> sample.cpp:519</div></div>
<div class="ttc" id="anamespacehelib_html_a16658952887fd437cdaccb4ec43b5717"><div class="ttname"><a href="namespacehelib.html#a16658952887fd437cdaccb4ec43b5717">helib::boundRoundingNoise</a></div><div class="ttdeci">double boundRoundingNoise(long m, long phim, long p2r, double epsilon=9e-13)</div></div>
<div class="ttc" id="azz_x_8h_html"><div class="ttname"><a href="zz_x_8h.html">zzX.h</a></div></div>
<div class="ttc" id="anamespacehelib_html_ab0fdf54d28eb816a5a395b7e1e1efe51"><div class="ttname"><a href="namespacehelib.html#ab0fdf54d28eb816a5a395b7e1e1efe51">helib::getPhimXMod</a></div><div class="ttdeci">const NTL::zz_pXModulus &amp; getPhimXMod(const PAlgebra &amp;palg)</div><div class="ttdef"><b>Definition:</b> zzX.cpp:77</div></div>
<div class="ttc" id="anamespacehelib_html_a3cebf12977a97396ba96bdc5fe8162e7"><div class="ttname"><a href="namespacehelib.html#a3cebf12977a97396ba96bdc5fe8162e7">helib::sampleHWt</a></div><div class="ttdeci">void sampleHWt(zzX &amp;poly, long n, long Hwt=100)</div><div class="ttdoc">Sample a degree-(n-1) poly as above, with only Hwt nonzero coefficients.</div><div class="ttdef"><b>Definition:</b> sample.cpp:29</div></div>
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